Question

4. Are handedness and gender related? A researcher collected the following data in hopes of discovering if handedness and gender are independent (Ambidextrous individuals were excluded from the study). Use the Chi-Square test for independence to explore this at a level of significance of 0.05. Report the test statistic using correct APA formatting and interpret the results. Right- Handed Left- Handed 13 27 Men Women 18

Answer 1

solution:- viven that The chi-square test for independence to explore this at a loved of sit nificance of 0105 Left Handed Right Handed! men 1322 women 24 | 18 Test Hypothesis ; Ho i vull Hypothesis i handedness and gendeen arre, indefendent Hi Alternative hypothesis: handed ness and gender anve not independent

observed frequencies i hand total 22 135 left hand right men 13 women 24 18 total , 40 40 45 | 80 Expected force uences, Left hand right hand total 40X3518=1705 1705 135 men women 40 145 180 225 22.5 45 cobsenved (Expected one Ico-eje C0-6416 | values) values) 13 G 13-175-0-41533 11571 -4.5 20:25 22 1715 22-17 5 1C4 58 = 1 11.1571 = 4.5 20:25 24 2215 27-22' 54.5j2 09 = 4, 5 20125 18 2215 18-22-5 -4153 =-45 20:25 511-4153= ora

The above data chi -sluane x ² = 4, 1142 ( 11. 541+ l'157+0.9+09) = 4:1172) 4.1172 degrees of foreldom cdf)= (number of rows-1) x (number of columns-1) = (2-1) X(2-1) - 1x1 = 1 level of significance a=0'05 forom a and de critical value, x2 = 3-84 chi-square distgribution C. Forom s tables

→ since calculated value is the couitical value So, we reject Ho s we can conclude that there is between handed nese rpen handed nese and gendegs. relation ship 17 - X Thank you